equations dr dt dy dt xy + 2 2+y = y(1-y)- xy 2+4 (a) Which equation models the prey population and which equation models the predator population? (b) How does the prey population grow if there are no predators present? (c) What happens if there are a lot of prey present?

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Chapter2: Second-order Linear Odes
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4. Consider the following predator-prey systems of differential
equations
da
dt
dy
dt
xy
+
2 2+y
= y(1-y)
xy
2+4
(a) Which equation models the prey population and which equation.
models the predator population?
(b) How does the prey population grow if there are no predators
present?
(c) What happens if there are a lot of prey present?
Transcribed Image Text:4. Consider the following predator-prey systems of differential equations da dt dy dt xy + 2 2+y = y(1-y) xy 2+4 (a) Which equation models the prey population and which equation. models the predator population? (b) How does the prey population grow if there are no predators present? (c) What happens if there are a lot of prey present?
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